At the point on the curve

MATHEMATICS · Single correct · A Level · Mathematics · Differentiation · Differentiation

Problem

At the point (1,2)(1,2) on the curve x2y+y3=10x^{2}y+y^{3}=10, what is the equation of the normal line? (a) y=−413x+3013y=-\dfrac{4}{13}x+\dfrac{30}{13} (b) y=134x−54y=\dfrac{13}{4}x-\dfrac{5}{4} (c) y=−134x+214y=-\dfrac{13}{4}x+\dfrac{21}{4} (d) y=74x+14y=\dfrac{7}{4}x+\dfrac{1}{4}

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